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Finding the Third Proportional to 2,703,699 and 4,174,767

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Solution

The third proportional to 2,703,699 and 4,174,767 is: 6,446,235.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,703,699 : 4,174,767 = 4,174,767 : x
  2. Step 2: Convert to fraction form
    2,703,699/4,174,767 = 4,174,767/x
  3. Step 3: Cross multiply
    2,703,699x = 4,174,767 × 4,174,767
  4. Step 4: Simplify right side
    2,703,699x = 17,428,679,504,289
  5. Step 5: Solve for x
    x = 17,428,679,504,289/2,703,699
  6. Step 6: Final answer
    x = 6,446,235.14

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.